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Finding the Fourth Proportional to 4,174.96, 5,769.12 and 2,994.16

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Solution

The fourth proportional to 4,174.96, 5,769.12 and 2,994.16 is: 4,137.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.96 : 5,769.12 = 2,994.16 : x
  2. Step 2: Convert to fraction form
    4,174.96/5,769.12 = 2,994.16/x
  3. Step 3: Cross multiply
    4,174.96x = 5,769.12 × 2,994.16
  4. Step 4: Simplify right side
    4,174.96x = 17,273,668.34
  5. Step 5: Solve for x
    x = 17,273,668.34/4,174.96
  6. Step 6: Final answer
    x = 4,137.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.